A fractal is a mathematical set that has a fractal dimension that usually exceeds its topological dimension[1] and may fall between the integers.[2] Fractals are typically self-similar patterns, where self-similar means they are "the same from near as from far"[3]Fractals may be exactly the same at every scale, or as illustrated in Figure 1, they may be nearly the same at different scales.[The definition of fractal goes beyond self-similarity per se to exclude trivial self-similarity and include the idea of adetailed pattern repeating itself
